journal article·2019-04

Reconstructing the Amplitudes of Radiation of a Defect Based on Acoustic Emission Signals at the Free Boundary of a Massive Body

V. N. Berkovich, S. I. Builo

Publisher page

Abstract

We consider the problem in the dynamic theory of elasticity about steady-state oscillations in a massive elastic body that is at the pre-fracture stage of material under antiplane strain. The process of acoustic emission (AE) at the stage of accumulation of defects representing a finite tree graph directed toward the free boundary of the elastic body is investigated. The problem about the radiation of a defect has been solved under the assumption of the activity of its part nearest to the body boundary. A variational approach was used to solve the inverse problem of reconstructing the amplitudes of radiation of the defect based on AE signals.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Engineering Diagnostics and Reliability · Industrial Engineering and Technologies · Ultrasonics and Acoustic Wave Propagation

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (15)

Show source-provided references
1. Builo, S.I., Fiziko-mekhanicheskie, statisticheskie i khimicheskie aspekty akustiko-emissionnoi diagnostiki (Physicomechanical, Statistical, and Chemical Aspects of Acoustic-Emission Diagnostics), Rostov-on-Don: South Fed. Univ., 2017.
2. Ivanov, V.I. and Barat V.A., Akustiko-emissionnaya diagnostika (Acoustic-Emission Diagnostics), Moscow: Spektr, 2017.
3. Akustiko-emissionnyi kontrol’ aviatsionnykh konstruktsii (Acoustic-Emission Testing of Aircraft Structures), Stepanova, L.N. and Ser’eznov, A.N., Eds., Moscow: Mashinostroenie-Polet, 2008.
4. Builo, S.I., Fiziko-mekhanicheskie i statisticheskie aspekty povysheniya dostovernosti rezul’tatov akustiko-emissionnogo kontrolya i diagnostiki (Physicomechanical and Statistical Aspects of Increasing the Reliability of the Results of Acoustic-Emission Testing and Diagnostics), Rostov-on-Don: South Fed. Univ., 2008.
5. Builo, S.I., Diagnostics of the prefracture state of materials according to the parameters of the amplitude distribution of accompanying acoustic-emission signals, Russ. J. Nondestr. Test., 2012, vol. 48, no. 11, pp. 638–648.10.1134/S1061830912110022 ↗
6. Builo, S.I., Physical, mechanical, and statistical aspects of acoustic emission diagnostics, in Physics and Mechanics of New Materials and Their Applications, New York: Nova Sci. Publ., 2013, Ch. 15.
7. Rekach, V.G., Rukovodstvo k resheniyu zadach po teorii uprugosti (Guide to Solving Problems in the Theory of Elasticity), Moscow: Vysshaya Shkola, 1977.
8. Lebedev, N.N., Spetsial’nye funktsii i ikh prilozheniya (Special Functions and Their Applications), Moscow—Leningrad: Nauka, 1968.
9. Besov, O.V., Il’in, V.P., and Nikolskii, S.M., Integral’nye predstavleniya funktsii i teoremy vlozheniya (Integral Representations of Functions and Embedding Theorems), Moscow: Nauka, 1975.
10. Berkovich, V.N., On the exact solution to one class of integral equations of mixed problems of elasticity and mathematical physics, Dokl. Akad. Nauk SSSR, 1982, vol. 267, no. 2, pp. 327–330.
11. Berkovich, V.N., Acoustic radiation in elastic medium from internal defect with a break, Mezhdunar. Nauchn.-Issledov. Zh., 2018, no. 3, pp. 11–14.
12. Kupradze, V.D., Metody potentsiala v teorii uprugosti (Methods of Potential in the Theory of Elasticity), Moscow: Fizmatgiz, 1963.
13. Mikhlin, S.G., Variatsionnye metody v matematicheskoi fizike (Variational Methods in Mathematical Physics), Moscow: Nauka, Fizmatgiz, 1970.
14. Vatul’yan, A.O. and Solov’iev, A.N., Pryamye i obratnye zadachi dlya odnorodnykh i neodnorodnykh uprugikh i elektrouprugikh tel (Direct and Inverse Problems for Homogeneous and Inhomogeneous Elastic and Electroelastic Bodies), Rostov-on-Don: South Fed. Univ., 2008.
15. Tripalin, A.S. and Builo, S.I., Akusticheskaya emissiya (Acoustic Emission), Rostov-on-Don: Rostov State Univ., 1986.